Algebra 1 review

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

Is the relation {(1, 2), (2, 4), (3, 4), (4, 5)} a function?

Back

Yes, because each input (1, 2, 3, 4) has one unique output.

Front

What does f(x) = 4x + 1 represent?

Back

It represents a linear function where 4 is the slope and 1 is the y-intercept.

Front

What is the value of f(3) if f(x) = 4x + 1?

Back

f(3) = 13.

Front

What are the solution, root, x-intercept, and zero of a function?

Back

They all refer to the same point where the function equals zero.

Front

How do you solve x² - 9x + 8 = 0 by factoring?

Back

Factor to (x - 8)(x - 1) = 0, giving solutions x = 8 and x = 1.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis.

Front

What is the slope of a line?

Back

The slope is a measure of how steep a line is, calculated as rise over run.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis.

Front

What does it mean for a function to be linear?

Back

A linear function creates a straight line when graphed.